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Finding the Fourth Proportional to 9,708.60, 14,562.90 and 2,783.10

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Solution

The fourth proportional to 9,708.60, 14,562.90 and 2,783.10 is: 4,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.60 : 14,562.90 = 2,783.10 : x
  2. Step 2: Convert to fraction form
    9,708.60/14,562.90 = 2,783.10/x
  3. Step 3: Cross multiply
    9,708.60x = 14,562.90 × 2,783.10
  4. Step 4: Simplify right side
    9,708.60x = 40,530,006.99
  5. Step 5: Solve for x
    x = 40,530,006.99/9,708.60
  6. Step 6: Final answer
    x = 4,174.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.